Helly-type theorems for pseudoline arrangements in P2 |
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| Authors: | Jacob E Goodman Richard Pollack |
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| Institution: | The City College, City University of New York, New York, New York 10031 USA;Courant Institute of Mathematical Sciences, New York University, New York, New York 10012 USA |
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| Abstract: | We prove duals of Radon's theorem, Helly's theorem, Carathéodory's theorem, and Kirchberger's theorem for arrangements of pseudolines in the real projective plane, which generalize the original versions of those theorems for plane configurations of points. We also prove a topological generalization of the pseudoline-dual of Helly's theorem. |
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